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Workflow technology has emerged as one of the leading technologies in modeling, redesigning, and executing business processes.\ud The management of temporal aspects in the definition of a workflow process has been considered only recently in the literature.\ud Currently available workflow management systems (WfMS) and research prototypes offer a very limited support for the definition, detection, and management of temporal constraints over business processes.\ud In this paper, we propose a new advanced workflow conceptual model for expressing time constraints in business processes and we present a general technique to check different levels of temporal consistency for workflow schemata at process design time: since a time constraint can be satisfied in different ways, we propose a classification of temporal workflows according to the way time constraints are satisfied.\ud Such classification can be used to successfully manage flexible workflows at run time

Simple Temporal Networks (STNs) are used in many applications, as they provide a powerful and general tool for representing conjunctions of maximum delay constraints over ordered pairs of temporal variables. We introduce Hyper Temporal Networks (HyTNs), a strict generalization of STNs, to overcome the limitation of considering only conjunctions of constraints. In a Hyper Temporal Network a single temporal constraint may be defined as a set of two or more maximum delay constraints which is satisfied when at least one of these delay constraints is satisfied. As in STNs, a HyTN is consistent when a real value can be assigned to each temporal variable satisfying all the constraints. We show the computational complexity for this generalization and propose effective reduction algorithms for checking consistency of HyTNs unveiling the link with the field of Mean Payoff Games. HyTNs are meant as a light generalization of STNs offering an interesting compromise. On one side, as we show, there exist practical pseudo-polynomial time algorithms for checking consistency and computing feasible schedules for HyTNs. On the other side, HyTNs allow to express natural constraints that cannot be expressed by STNs like "trigger off an event exactly δ min after the occurrence of the last event in a set".

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